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\(\boxed2 \pm \sqrt6\)1. **Frage: - Appfinity Technologies

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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🔥 Popular Posts

First, we determine the number of positive integers \( v \) that are f...
= 2^3 \times 3^2 \times 5^1
The total number of positive divisors of 360 is:
Now, list the divisors of 360 that are less than or equal to 30:
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30
Count these divisors: there are 15 such divisors.
Since \( v \) is a positive integer \(\leq 30\), there are 30 possible...
\frac{15}{30} = \frac{1}{2}
Thus, the probability is \(\boxed{\frac{1}{2}}\).
Question:** The average of \( 3v+2 \), \( 5v-1 \), and \( 4v+7 \) is r...

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Use dot product: \( \vec{u} \cdot \vec{v} = 3(-1) + 4(2) = -3 + 8 = 5...
Magnitudes: \( |\vec{u}| = \sqrt{9 + 16} = 5 \), \( |\vec{v}| = \sqrt{...
So \( \cos \theta = \frac{5}{5 \cdot \sqrt{5}} = \frac{1}{\sqrt{5}} \)
\( \theta = \cos^{-1}\left( \frac{1}{\sqrt{5}} \right) \approx 63.43^\...
#### Angle: \( \cos^{-1}\left( \frac{1}{\sqrt{5}} \right) \) or approx...
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